2.34 is what percent of 29.75 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 29.75 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 29.75, so we can write it down as 100%=29.75.
4. We know, that x% equals 2.34 of the output value, so we can write it down as x%=2.34.
5. Now we have two simple equations:
1) 100%=29.75
2) x%=2.34
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=29.75/2.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2.34 is what percent of 29.75

100%/x%=29.75/2.34
(100/x)*x=(29.75/2.34)*x       - we multiply both sides of the equation by x
100=12.713675213675*x       - we divide both sides of the equation by (12.713675213675) to get x
100/12.713675213675=x
7.8655462184874=x
x=7.8655462184874

now we have:
2.34 is 7.8655462184874% of 29.75